[b]Construction of the circumcenter for a general triangle:[/b][br][br]The [b]CIRCUMCENTER [/b]is usually defined as the intersection point of the three perpendicular bisectors of a triangle. This point is the center of the circumscribed circle, that passes through the three vertices. Hence, the circumcenter is at the same distance from the three vertices of a triangle. [br][br]Construct the circumcenter of the triangle.
a) In which cases is the circumcenter INSIDE the triangle? [br]b) In which cases is the circumcenter OUTSIDE the triangle? [br]c) In which cases does the circumcenter LIES on the sides of the triangle? Where is the circumcenter?[br]d) In which cases does a perpendicular bisector pass through the opposite vertex? [br]e) In which cases do the three perpendicular bisectors passes through the corresponding opposite vertices? [br][br]